Evaluate the following algebraic expression for 2x

Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many

tia_tia [17]

Answer:

Step-by-step explanation:

The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.

1000 milliliters = 1 liter

750 milliliters = 750/1000 = 0.75Liter

if they combine the two batches, the total amount made would be

5 + 0.75 = 5.75Liter

= 5.75 × 1000 = 5750 milliliters

The number of 180 milliliters servings would be

5750/180 = 31 servings

There would be leftovers of 170 milliliters

7 0

3 years ago

If one acute angle of a right triangle measure 37 what's the measure of the other acute angle

Ghella [55]

53°

Step-by-step:

- All angles in a triangle add up to 180°.

- Since your triangle is a right angle triangle, one of the angles are 90°.

- You already know another one, 37°.

- All you have to do to find the last one is to subtract the two you already know from 180.

180 - (90+37)

= 180 - 127

= 53

The measure of the last angle is 53°.

5 0

3 years ago

medical students use a three-dimensional reproduction of a human skeleton to learn about bones. which item describes this learni

Nataly [62]

A plastic skeleton is

Answer: B. a physical model.

The world has lots of different kinds of models. A mathematical model might be a ball travels according to the equation $y = v_0 t - \frac 1 2 gt^2$ . This isn't that. A computer model would be a program that somehow simulates a skeleton in the computer, this isn't that either. Our skeleton is an actual physical model just like a model airplane.

4 0

3 years ago

According to the University of Nevada Center for Logistics Management, 6% of all mer-

Fudgin [204]

Answer:

a) The point estimate of the proportion of items returned for the population of

sales transactions at the Houston store = 12/80 = 0.15

b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].

c) Yes.

We set an hypothesis and construct a test statistics. The test statistics result gives us:

Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.

Step-by-step explanation:

a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.

b) By formula of confident interval:

CI(95%) = p ± Z* $\sqrt{\frac{p*(1-p)}{n} } = 0.15 \pm 1.96 *\sqrt{\frac{0.15*(1-0.15)}{80} }$ ,

CI(95%) = [0.0718 < p < 0.2282]

c) The hypothesis:

$H_{0}$ : The proportion of returns at the Houston store is not significantly different from the returns for the nation as a whole.

$H_{a}$ : The proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.

The test statistics:

Z = $\frac{\hat{p} - p_{0}}{\sqrt{\frac{p*(1-p)}{n} }}$ , where $p_{0}$ is the proportion of nation returns.

Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.

6 0

3 years ago

Compute the range of the following data set:<br> 89, 65, 34, 91

malfutka [58]

Answer:

57

Step-by-step explanation:

range = biggest - smallest

91 - 34 = 57

range = 57

8 0

3 years ago

Evaluate the following algebraic expression for 2x - 2